By Liviu Nicolaescu
This self-contained remedy of Morse conception makes a speciality of purposes and is meant for a graduate direction on differential or algebraic topology, and also will be of curiosity to researchers. This is the 1st textbook to incorporate subject matters akin to Morse-Smale flows, Floer homology, min-max concept, second maps and equivariant cohomology, and complicated Morse theory. The reader is anticipated to have a few familiarity with cohomology concept and differential and essential calculus on delicate manifolds.
Some good points of the second one variation comprise extra purposes, resembling Morse thought and the curvature of knots, the cohomology of the moduli area of planar polygons, and the Duistermaat-Heckman formulation. the second one version additionally encompasses a new bankruptcy on Morse-Smale flows and Whitney stratifications, many new workouts, and diverse corrections from the 1st edition.
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An Invitation to Morse Theory (Universitext) by Liviu Nicolaescu